Atkin-Lehner |
2- 3- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430bd |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
23674548600 = 23 · 32 · 52 · 234 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-451211,116621241] |
[a1,a2,a3,a4,a6] |
Generators |
[-584:13747:1] [336:1557:1] |
Generators of the group modulo torsion |
j |
10159277153082302480689/23674548600 |
j-invariant |
L |
11.977922042425 |
L(r)(E,1)/r! |
Ω |
0.78526553967713 |
Real period |
R |
1.271111642837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290n4 |
Quadratic twists by: -3 |